Logarithmic singular potentials are considered to test the applicability of the peratization technique. It is shown that if one sums up the leading singular terms in each order of the perturbation series no finite results ...

Along this work we search to better understand the exponential and logarithmic functions so that we could present them differently from the traditional approach. In a first moment we recovered the concepts of potentiation, ...

Estudamos alguns tópicos da Teoria do Potencial Logarítmico. Enfatizamos o problema de caracterizar a medida do equilíbrio. Provamos um resultado sobre a assintótica da medida contadora de zeros, associada com uma classe ...

We introduce explicit and exact variational formulations for the weakly singular and hypersingular operators over an open interval as well as for their corresponding inverses. Contrary to the case of a closed curve, these ...

Orbits in the principal planes of triaxial potentials are known to be prone to unstable motion normal to those planes, so that three dimensional investigations of those orbits are needed even though they are two dimensional. ...

Potential of the form (gr-4 ln2 r - g1/2r -3)θ(r - r0) is considered in connection with the applicability of peratization technique. The advantage of this potential is the fact that while it is dominated by a logarithmic ...